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To explain the high-energy astrophysical neutrino flux with energies $\simPeV$ recently observed by IceCube collaboration and the relic abundance of DMin the Universe, we consider the minimal 4-dimensional operator $\sim y_{\alpha\chi}\overline{{L_{L_{\alpha}}}}\, H\, \chi$. The cosmological background isassumed to evolve according to $f({\cal T})$ cosmology, where ${\cal T}$ is thescalar torsion.

Consequences of Modified Cosmologies in DM abundance and PeV IceCube signals